A Method of Proof of Pythagorean Theorem,
Parallelogram Style
(Similar to the proof in Euclid's 'Elements'.)
Recall: Parallelograms with same height and base have same area.

A Method of Proof of Pythagorean Theorem,
Triangle-and-Parallelogram Style
(Very similar to the proof in Euclid's 'Elements'.
Click the link. Animated.)
Recall: Triangles with same height and base have same area,
and a square or rectangle can be split into
two right triangles of the same area.

A Method of Proof of Pythagorean Theorem,
4-Triangles-and-Algebra Style
(Similar to an ancient Chinese view of
a right triangle and its squares. Not animated.)
NOTE: The 4 hypotenuses are on the INSIDE of the big square.

A Method of Proof of Pythagorean Theorem,
4-Triangles-and-Rearrangement Style
(Similar to an ancient Chinese view of
a right triangle and its squares. Animated.)
NOTE: The 4 hypotenuses are on the INSIDE of the big square.

A Method of Proof of Pythagorean Theorem,
4-Triangles-and-Rearrangement Style
(Very similar to an ancient Chinese view of
a right triangle and its squares. Animated.)
NOTE: The 4 hypotenuses are on the OUTSIDE of the big square.

CLICK HERE for a sample of Blaze's voice,
a welcome message. (.mp3 file)

OR

CLICK HERE for a sample of Blaze's voice,
a welcome message. (.wav file)

You say you don't like this background image?

Choose a background image:

You say you would prefer a solid background color?

Choose a background color:

NOTE :
Your choice of background is not saved for when
you return to this page.
It could be, by using a "cookie", a small file
on your computer --- ugh.

When you (re)load this page or return to this page,
the background is set according to the hour of the day.
Hence it changes every hour --- for some variety.

There was
* Alexander the Great
* Atilla the Hun
* Henry the Ate-th
* Ivan the Terrible
* Richard the Thurd
* William the Conqueror
* Vlad the Impaler

Now there is
* Blaze the Maintainer (of web pages)
(too many pages to get them all in
proper shape ... never gonna happen)

WebSiteName origins:
Blaze did not derive the name 'subdude' from
Dudeism and the Church of the Latter-Day Dude
nor from
the Church of the SubGenius
--- but 'subdude' probably came from
a subconscious percolation of names like these.
He thinks he saw a reference to a
'Church of the Holy SubDude'
in the comments in a forum, but he cannot find that page.
The ability to make puns with 'subdued' played a big part.
In brief: He can't really remember the exact origin.
But he remembers that subdude.com was taken and that
subdude-site.com was offered as an alternative.

Your SEO and CDN Javascript crud ---
and 3rd-party web servers (distant host machines) ---
are
ruining the Internet.
Creators and perpetrators of SEO and CDN companies
. . . and your venture capitalist backers . . .
do everyone a huge favor and find another line of work.
If you will not do that, then please die.

I write these pages using relatively simple HTML
so that the pages appear quickly. I certainly
do not want the horrible Javascript of
organizations like 'google', 'doubleclick',
'akamai', 'cloudfront', 'newrelic', 'quantserve',
'richrelevance', 'scorecardresearch',
'servebom', 'zendesk', etc. etc.
called from within my web pages.

Let's do the math to quantify Bill's suggestion :
About 240,000 humans (net) are being added each day
to Mother Earth (circa 2018). This is about
10,000 per hour. Since a large cruise ship holds
about
5,000 people, about one large cruise ship
per half hour
needs to 'sink with total loss of life' to keep the
human population under control,
under about 8 billion people.

That is 2 x 24 x 7 x 52 = 17,472 cruise ships per year.
We will run out of cruise ships in less than a year.
Bill, help us out. What do you suggest after that?